\(x+\frac{1}{10}+x+\frac{1}{10}+x+\frac{1}{12}=x+\frac{1}{13}+x+\frac{1}{14}\)
\(\Rightarrow3x+\left(\frac{1}{10}+\frac{1}{10}+\frac{1}{12}\right)=2x+\left(\frac{1}{13}+\frac{1}{14}\right)\)
\(\Rightarrow3x+\left(\frac{6}{60}+\frac{6}{60}+\frac{5}{60}\right)=2x+\left(\frac{14}{182}+\frac{13}{182}\right)\)
\(\Rightarrow3x+\frac{17}{60}=2x+\frac{27}{182}\)
\(\Rightarrow3x-2x=\frac{27}{182}-\frac{17}{60}\)(dùng quy tắc chuyển vế)
\(\Rightarrow x=\frac{810}{5460}-\frac{1547}{5460}\)
\(\Rightarrow x=\frac{-737}{5460}\)
bạn nhớ thử lại nhé :)
mk sửa lại đề chút vì x+1/10 fai đến x+1/11 ms đúng
\(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}\)
\(\Leftrightarrow\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}-\frac{x+1}{13}+\frac{x+1}{14}=0\)
\(\Leftrightarrow\left(x+1\right)\left(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}+\frac{1}{14}\right)=0\)
\(\Leftrightarrow x+1=0\).Do \(\frac{1}{10}+\frac{1}{11}+\frac{1}{12}-\frac{1}{13}+\frac{1}{14}\ne0\)
\(\Leftrightarrow x=-1\)
phiền mấy bạn ghi lại giúp mình nhé.Thanks